Amity University, Mumbai

It depends on the institution mostly. Though animation is such a field where you can learn as many softwares as you feel like depending upon your free will to get your desired output. Normally, you'll be taught Autodesk Maya, Autodesk Match Mover, Adobe Illustrator, Adobe Photoshop, Adobe AfterEffects Monkey Jam, Blender 3D, and maybe a few more. This is a basic set of softwares which are mostly used for teaching students in institutions because they either carry free or institutional licenses. This means that these softwares allow a free access to students and teachers for learning purposes only and not for any commercial purpose. Other softwares like Nuke, Marmoset, etc. do not provide institutional or free licenses. So you can't expect your institution to teach those to you unless they've paid for it. In case you want to explore other softwares. You'll have to buy their license to use them. My advice: First learn the basics and once you become professional, buy professional software suites.